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152639060 = 22573779373
BaseRepresentation
bin10010001100100…
…01011001010100
3101122012212102112
421012101121110
5303033422220
623051330152
73532260560
oct1106213124
9348185375
10152639060
1179184a92
1243150958
1325814192
14163b46a0
15d6015c5
hex9191654

152639060 has 96 divisors (see below), whose sum is σ = 382018560. Its totient is φ = 50139648.

The previous prime is 152639057. The next prime is 152639089. The reversal of 152639060 is 60936251.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409034 + ... + 409406.

It is an arithmetic number, because the mean of its divisors is an integer number (3979360).

Almost surely, 2152639060 is an apocalyptic number.

152639060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152639060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191009280).

152639060 is an abundant number, since it is smaller than the sum of its proper divisors (229379500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152639060 is a wasteful number, since it uses less digits than its factorization.

152639060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 152639060 is about 12354.7181270962. The cubic root of 152639060 is about 534.4272089021.

The spelling of 152639060 in words is "one hundred fifty-two million, six hundred thirty-nine thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 79 140 148 158 185 259 316 370 373 395 518 553 740 746 790 1036 1106 1295 1492 1580 1865 2212 2590 2611 2765 2923 3730 5180 5222 5530 5846 7460 10444 11060 11692 13055 13801 14615 20461 26110 27602 29230 29467 40922 52220 55204 58460 58934 69005 81844 96607 102305 117868 138010 147335 193214 204610 206269 276020 294670 386428 409220 412538 483035 589340 825076 966070 1031345 1090279 1932140 2062690 2180558 4125380 4361116 5451395 7631953 10902790 15263906 21805580 30527812 38159765 76319530 152639060